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Finding the Fourth Proportional to 514,752.04, 771,914.22 and 199,027

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Solution

The fourth proportional to 514,752.04, 771,914.22 and 199,027 is: 298,457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,752.04 : 771,914.22 = 199,027 : x
  2. Step 2: Convert to fraction form
    514,752.04/771,914.22 = 199,027/x
  3. Step 3: Cross multiply
    514,752.04x = 771,914.22 × 199,027
  4. Step 4: Simplify right side
    514,752.04x = 153,631,771,463.94
  5. Step 5: Solve for x
    x = 153,631,771,463.94/514,752.04
  6. Step 6: Final answer
    x = 298,457.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.